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This problem trains for: SAT-I, AMC-8, GMAT.

A scalene non-degenerate plane triangle has angle values that form consecutive terms of an arithmetic sequence (progression). The angle values form a data set with what median?

Denote the median with m and the common difference of the progression with d. The sequence of three angles can be written as:

equation

and the angles of a non-degenerate plane triangle add up to 180°:

equation

equation

equation